Question

Which shows the expressions rewritten with the least common denominator? 2p - 5/4p and 5p/6p2​

Answer 1

Answer:

$\frac{2p-5}{4p}$

Step-by-step explanation:

Least common denominator is the smallest number or expression that can be a common denominator for a set of fractions.

Comparing the two expressions, $\frac{2p-5}{4p}$ and $\frac{5p}{6p^{2} }$,

the common denominator = 24$p^{2}$, and the highest common factor is 2p.

Therefore, the least common denominator = $\frac{24p^{2} }{2p}$

                                                                       = 12p

Thus,   $\frac{(2p-5)*3}{4p*3}$   = $\frac{(6p-15)}{12p}$

and            $\frac{5p*2}{6p^{2}*2 }$ = $\frac{10p}{12p^{2} }$

The expression that shows the least common denominator when rewritten is $\frac{2p-5}{4p}$.